Add 1/9 to both sides
n^2+2/3n+1/9=0
factor
I recognize a perfect square binomial
(a+b)^2=a^2+2ab+b^2
1n^2+2(n)(1/3)+(1/3)^2
(n+1/3)^2=0
set to zero
n+1/3=0
minus 1/3
n=-1/3
Answer:
x=70
Step-by-step explanation:
angles of a triangle are always 180
180-40=140
140=2x
divide both sides by 2
70=x
Answer:
No, the events are dependent
Step-by-step explanation:
The probability of two events occurring is:
P(A and B) = P(A) × P(B given A)
If the events are independent (event A does not affect the probability of event B), then P(B given A) = P(B).
However, these events aren't independent. If Abbie places first, it affects the probability of whether Becca places second.
P(B given A) ≠ P(B)
P(B given A) ≠ 0.08
You have two choices.
The minimum possible cost to operate your bat factory for a day is $390,
and there are two quantities of bats that both cost that much.
One possibility:
Produce no bats at all per day. Zero. Nada. None.
Cost = 0.06(0)² - 7.2(0) + 390 = $390 per day.
The other choice:
Produce 120 bats per day.
Cost = 0.06(120²) - 7.2(120) + 390
= 0.06(14,400) - 7.2(120) + 390
= 864 - 864 + 390
= $390 per day.
If you produce any other number of bats in a day ... more than zero
but not 120 ... then it will cost you more than $390 to operate the factory
that day.
Answer: 12 outcomes
Step-by-step explanation:
When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes.